Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A:An elevator starts with $m$ passengers and stops at $n$ floors $(m\le n)$.The probability that no two passengers alight at the same floor is$\displaystyle \frac{,{}^{n}P_m}{n^m}$.
Reason R:If $(n+1)p$ is an integer, say $r$, then$P(X=r)=,{}^{n}C_r p^r(1-p)^{n-r}$ is maximum when $r=np$ or $r=np-1$.
In the light of the above statements, choose the most appropriate answer:
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